LCM of 418, 343, 343, 703, 987
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 418, 343, 343, 703, 987 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 418, 343, 343, 703, 987. So, keep reading to learn more.
Given numbers are 418,343,343,703,987
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 418,343,343,703,987 is 747982158.
Find LCM of 418,343,343,703,987 with Prime Factorization
| 7 | 418, 343, 343, 703, 987 |
| 7 | 418, 49, 49, 703, 141 |
| 7 | 418, 7, 7, 703, 141 |
| 19 | 418, 1, 1, 703, 141 |
| 22, 1, 1, 37, 141 |
Multiply the prime numbers at the bottom and the left side.
7 x 7 x 7 x 19 x 22 x 1 x 1 x 37 x 141 = 747982158
Therefore, the lowest common multiple of 418,343,343,703,987 is 747982158.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
418 x 343 x 343 x 703 x 987 = 34122198065802
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
418 : 1, 2, 11, 19, 22, 38, 209, 418
343 : 1, 7, 49, 343
343 : 1, 7, 49, 343
703 : 1, 19, 37, 703
987 : 1, 3, 7, 21, 47, 141, 329, 987
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 418,343,343,703,987, is 1.
Now, the common factors can be found like this.
418:2x 11x 19
343:7x 7x 7
343:7x 7x 7
703:19x 37
987:3x 7x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 7x 7x 7x 19 = 45619
Therefore, the value for common factors is 45619.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 34122198065802/(1x45619)
LCM = 34122198065802/45619
LCM = 747982158
Thus, we can understand that the LCM of 418,343,343,703,987 is 747982158.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 418, 343, 343, 703, 987
1. What is the LCM of 418, 343, 343, 703, 987?
Answer: LCM of 418, 343, 343, 703, 987 is 747982158.
2. How to calculate the LCM of 418, 343, 343, 703, 987?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 418, 343, 343, 703, 987.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.